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CANONICAL BÄCKLUND TRANSFORMATION — A NEW DISCRETE INTEGRABLE SYSTEM AND BETHE ANSATZ

SUPRIYA MUKHERJEE

High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata-700032, India

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A. ROY CHOWDHURY

High Energy Physics Division, Department of Physics, Jadavpur University, Kolkata-700032, India

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, and

A. GHOSE CHOUDHURY

Department of Physics, Surendranath College, Kolkata-700009, India

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https://doi.org/10.1142/S0217751X05025176Cited by:0 (Source: Crossref)

Abstract

A new discrete Lax operator involving discrete canonical variable is introduced which generate new integrable system, and is analyzed in the light of the new concept of canonical Bäcklund transformation and classical r-matrix. The generating function of the transformation is explicitly deduced. The second half of the paper deals with the quantization problem where an explicit form of the Bethe equations are deduced.

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